Solve for m
\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&n=\frac{3}{4}\end{matrix}\right.
Solve for n
\left\{\begin{matrix}\\n=\frac{3}{4}\text{, }&\text{unconditionally}\\n\in \mathrm{R}\text{, }&m=0\end{matrix}\right.
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\left(4n-3\right)m=0
Combine all terms containing m.
m=0
Divide 0 by 4n-3.
4mn=3m
Add 3m to both sides. Anything plus zero gives itself.
\frac{4mn}{4m}=\frac{3m}{4m}
Divide both sides by 4m.
n=\frac{3m}{4m}
Dividing by 4m undoes the multiplication by 4m.
n=\frac{3}{4}
Divide 3m by 4m.
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